Balancing based model reduction for structured index-2 unstable descriptor systems with application to flow control / Peter Benner, Jens Saak, M. Monir Uddin
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Discovery
870662511
URN
urn:nbn:de:gbv:3:2-64618
DOI
ISBN
ISSN
Autorin / Autor
Beiträger
Erschienen
Magdeburg : Max Planck Institute for Dynamics of Complex Technical Systems, November 12, 2014
Umfang
1 Online-Ressource (22 Seiten = 0,55 MB) : Diagramme
Ausgabevermerk
Sprache
eng
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Inhaltliche Zusammenfassung
Abstract: Stabilizing a flow around an unstable equilibrium is a typical problem in flow control. Model-based designed of modern controllers like LQR/LQG or H∞ compensators is often limited by the large-scale of the discretized flow models. Therefore, model reduction is usually needed before designing such a controller. Here we suggest an approach based on applying balanced truncation for unstable systems to the linearized flow equations usually used for compensator design. For this purpose, we modify the ADI iteration for Lyapunov equations to deal with the index-2 structure of the underlying descriptor system efficiently in an implicit way. The resulting algorithm is tested for model reduction and control design of a linearized Navier-Stokes system describing von Kármán vortex shedding.
Schriftenreihe
Max Planck Institute Magdeburg Preprints ; 14-20 ppn:870173030